Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bo |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-19560173466796875 = -1 · 39 · 510 · 112 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 11- 1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,65625,-1846094] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-4307:1] |
Generators of the group modulo torsion |
j |
4390400000/2747547 |
j-invariant |
L |
4.0039770951003 |
L(r)(E,1)/r! |
Ω |
0.22194505011343 |
Real period |
R |
1.1275248913103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925d1 71775cb1 |
Quadratic twists by: -3 5 |